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math.PR2026
A dice game, a multinomial walk, and the inverted Dirichlet distribution
Gunther Leobacher, Alexander Steinicke
We consider a simple dice game, which leads to an intriguing study of multinomial walks, with surprising and seemingly paradoxical properties. The winning and losing probabilities…
math.PR2019
Independence in Mathematics -- the key to a Gaussian law
Gunther Leobacher, Joscha Prochno
In this manuscript we discuss the notion of (statistical) independence embedded in its historical context. We focus in particular on its appearance and role in number theory, conco…